On P-Laplacian Problem with Decaying Cylindrical Potential and Critical Exponent

[摘要] In this paper we prove the existence and multiplicity of solutions for p-laplacian problem with decaying cylindrical potential and critical exponent by using Palais-Smale condition and by splitting the Nehari manifold N in two disjoint subsets N+ and N-, thus considering the minimization problems on N+ and N- respectively.

[关键词] Cylindrical potential;Palais-Smale condition;Nehari manifold;Critical exponent